what kind of angle does an acute triangle have
Answers
Answer:
An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.
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Related Questions
Simplify the following expressions by using the properties of exponents. Assume none of the denominators is zero.
a^3 (2a^2 + 4bc^4)^ 0
Answers
The simplified form of the expression is a³ which is calculated by using the properties of exponents.
Exponentiation is a mathematical operation that involves the base number (b) and the exponent (or power) number (n), and is represented as bⁿ. Its pronunciation is "b (raised) to the (power of) n." Exponentiation corresponds to repeated base multiplication where n is a positive integer; so, bⁿ is the result of multiplying n bases.
Typically, a superscript to the right of the base indicates the exponent. Then, bⁿ is referred to as "b raised to the nth power," "b (raised) to the power of n," "the nth power of b," "b to the nth power," or, most succinctly, "b to the nth."
The given expression is a³(2a² + 4bc⁴)⁰.
From the properties of exponents we know that:
a⁰ = 1
Therefore the value of the part of the expression (2a² + 4bc⁴)⁰ is 1
Therefore the total value of the exponential expression is a³
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Compute 49/24 of 15/24. Give your answer as a fraction in simplest form (not a mixed number).
Answers
Answer: 35/16
Step-by-step explanation:
Answer:
35/16
Step-by-step explanation:
49x15=735
Denominator will stay the same because both are same (24)
Then you simplify 735/24
Which will give you 35/16
The cost of 5 baguettes and 2 salads is £12.
The cost of 9 baguettes and 2 salads is £20.
a) How much does a baguette cost?
b) How much does a salad cost?
Answers
a) the cost of a baguette is £2.
b) the cost of a salad is £1.
What is the linear function?
A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
Let's denote the cost of a baguette as "b" and the cost of a salad as "s". Then we can write two equations based on the given information:
5b + 2s = 12 (equation 1)
9b + 2s = 20 (equation 2)
To solve for b and s, we can use the elimination method. We can subtract equation 1 from equation 2 to eliminate the "s" variable:
(9b + 2s) - (5b + 2s) = 20 - 12
Simplifying the left side and the right side, we get:
4b = 8
Dividing both sides by 4, we get:
b = 2
So the cost of a baguette is £2.
Now we can substitute b = 2 into either equation 1 or equation 2 to solve for s. Let's use equation 1:
5(2) + 2s = 12
Simplifying and solving for s, we get:
10 + 2s = 12
2s = 2
s = 1
So the cost of a salad is £1.
Hence, a) the cost of a baguette is £2.
b) the cost of a salad is £1.
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The triangle above has the following measures.
m
a=7.5 y
Use the 45-45-90 Triangle Theorem to find the length of the hypotenuse. Include correct units.
Show all your work.
Answers
The length of the hypotenuse is 10.61 yd.
We have,
The sum of the angles in a triangle = 180
Now,
Two angles are 45.
This means,
The side opposite to angle 45 are equal.
So,
a = c
And,
a = 7.5 yd
Now,
Applying the Pythagorean theorem.
b² = a² + c²
b² = 7.5² + 7.5²
b² = 112.5
b = √112.5
b = 10.61
Thus,
The length of the hypotenuse is 10.61 yd.
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Help me please help help
Answers
Answer:
Step-by-step explanation:
Greater than (<)
The amount you pay for a car is not usually the "sticker price," which may be the starting price. The price of a car was reduced by $300 from the sticker price, increased by $900 for additional features, and then reduced by $600 by the dealer. What integer represents the total change in price with respect to the sticker price? Use a number line to represent the change from the sticker price.
Answers
There will be no change in the price of the car.
What is a number line?A number line is a representation of a graduated straight line used to abstract real numbers in elementary mathematics. Its points are considered to correspond to real numbers and vice versa.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let the sticker price = x, Price reduced by $300
Hence the new price is,
N= x-$300
The cost of additional features = $900
Hence the new price for selling will be.
=x-$300+$900
=x+$600
Dealer also provides a discount of $600
Hence Final selling price will be
=x+$600-$600
Hence there seems to be no change in the sticker price as the sticker price and the final selling price are the same.
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an inspector working for a manufacturing company has a 99% chance of correctly identifying defective items and a 0.5% chance of incorrectly classifying a good item as defective. the company has evidence that 0.9% of the items its line produce is nonconforming. (a) what is the probability that an item selected for inspection is classified as defective? (5pt) (b) if an item selected at random is classified as defective, what is the probability that it is indeed nonconforming? (5pt) (c) if an item selected at random is classified as non-defective, what is the probability that it is indeed good? (5pt)
Answers
The probability of an item selected for inspection is classified and the defective is 0.01485.
Denote the events as follows:
A₁ = an item that is produced by the company and is defective.
A₂ = an item produced by the company that is not defective.
X is an item that is classified as defective by an inspector.
Given:
P (X|A₁) = 0.99
P (X|A₂) = 0.005
P (A₁) = 0.01
P (A₂) = 1 - P (A₁)
P (A₂) = 1 - 0.01 = 0.99
The law of total probability defines that:
P(B)=P(B|A).P(A)+P(B|C).P(C)
By using this law we can compute the probability that it is selected for inspection that is classified as defective as follows:
P(X)=P(X|A₁).P(A₁)+P(X|A₂).P(A₂)
So, the probability that an item selected for inspection is classified as defective is 0.01485.
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solve pls brainliest
Answers
Hey there!
39 = - u / 6
MULTIPLY 6 to BOTH SIDES
39(9) = (-u / 6)(6)
CANCEL out: the RIGHT side
KEEP: the LEFT side because it helps solve for the u-value
NEW EQUATION: -u = 234
DIVIDE -1 to BOTH SIDES
-1u / -1 = 234 / -1
CANCEL out: -1 / -1 because it gives you 1
KEEP: 234 / -1 because it gives you the result of the u-value
NEW EQUATION: u = 234 / -1
SIMPLIFY IT!
u = -234
Therefore, your answer is: [u = -234]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
-234
\(u = ( - 6) \times 39 = - 234\)
K
Choose the measurement closest to 30 km: 10 mi, 20 mi or 30 mi.
Choose the correct answer below.
20 mi
30 mi
10 Ini
O
O
O 10
Answers
Answer:
20 miles
Step-by-step explanation:
1.6km is equivalent to 1 mile
so 30km / 1.6 = 18.75 miles
therefore 20 miles is the closest to 30km
-3(2x-3)+5x=bx+9 solve for b
Answers
Answer b=-1 ?
B=-1
Please help
Circled and x’d questions only
Answers
The two top concert tours in 2016 were concert A and concert B. Based on average ticket prices, it cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B. Three tickets for concert B cost a total of $687. How much did an average ticket cost for each tour?
Answers
The average ticket cost for each concert is given as follows:
Concert A: $188.83.Concert B: $95.67.How to obtain the ticket costs?The ticket costs are obtained by a system of equations, for which the variables are given as follows:
Variable a: cost for Concert A.Variable b: cost for Concert B.It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:
6a + 6b = 1707
a + b = 284.5.
Three tickets for concert B cost a total of $687, hence the cost for concert B is of:
3b = 687
b = 287/3
b = $95.67.
Replacing into the first equation, the cost for concert A is given as follows;
a = 284.5 - 95.67
a = $188.83.
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Question 6(1 point)
QS is a tangent to circle P. Find QS.
Answers
PR = 5 since it is also the radius.
So if you use the Pythagorean theorem, you get sqrt(13^2 - 5^2) = 12
There are two types of tickets sold at the Canadian Formula One Grand Prix race. The price of 6 grandstand tickets and 4 general admission tickets is $3200. The price of 8 grandstand tickets and 8 general admission tickets is $4880. What is the price of each type of ticket?
Answers
Let:
x = price of the grandstand ticket
y = price of the general admission ticket
The price of 6 grandstand tickets and 4 general admission tickets is $3200, so:
\(6x+4y=3200\)The price of 8 grandstand tickets and 8 general admission tickets is $4880, so:
\(8x+8y=4880\)Let:
\(\begin{gathered} 6x+4y=3200_{\text{ }}(1) \\ 8x+8y=4880_{\text{ }}(2) \end{gathered}\)Using elimination method:
\(\begin{gathered} 2(1)-(2)\colon_{} \\ 12x-8x+8y-8y=6400-4880 \\ 4x=1520 \\ x=\frac{1520}{4} \\ x=380 \end{gathered}\)replace the value of x into (1):
\(\begin{gathered} 6(380)+4y=3200 \\ 2280+4y=3200 \\ 4y=3200-2280 \\ 4y=920 \\ y=\frac{920}{4} \\ y=230 \end{gathered}\)The price of the grandstand ticket is $380 and the price of the general admission ticket is $230
A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answers
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
PLEASE ANSWER NUMBER 2
Answers
Find the value of ln(-0.379).
Answers
Answer:
Undefined
Step-by-step explanation:
To obtain the In(-0.375)
In x = log e x = y
The In is the natural logarithm of a number
To obtain the natural logarithm value of a given number using a calculator :
Simply press the In button followed by the value to obtain the direct value of the number x.
The In of any negative value gives an error output.
The In of x is only defined for values of x greater Than 0; that is ; X > 0
In of negative numbers is undefined
Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $560.00 and her monthly expenses are $347.49, what percent of her net pay is left for savings? (2 points)
19%
23%
38%
Answers
Answer:
38%
Step-by-step explanation:
First determine her savings
560-347.49
212.51
Then divide by the total amount
212.51/560
.379482143
Change to percent form
37.948%
Answer:
38%
Step-by-step explanation:
\(560.00-347.49=212.51\\212.51\div560.00==38\)
Use elimination to find the solution to the system of equations.
4x + y = 8
3r – 2y = 6
Answers
Erika's toy is valued at €450. Its value increased by 10% then decreases by 10% the year after. What is the value of Erika's toy after these two changes?
Answers
Answer:
€445.50-------------------------
Initial value of the toy is €450.
After 10% increase the value is:
€450 + 10% = €450*1.1 = €495After further 10% decrease the value becomes:
€495 - 10% = €495*0.9 = €445.50The final value of the toy is €445.50.
Chris rented a truck for one day. There was a base fee of $19.95, and there was an additional charge of 85 cents for each mile driven. Chris had to pay $183.15
when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
he drove 192 miles
Step-by-step explanation:
why bc I did 0.85 x 192= 183.15
so that makes 192 the miles Chris drove
Hello all!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Be sure to answer both steps! Thanks!
Answers
Answer:
A. Pentagon with side of 4 ft
Area of a polygon formula:
A= (1/4) × n × s² × cot(π/n), where n-number of sides, s-side lengthApplied to our pentagon:
A = (1/4)×5×4²×cot(π/5) ≈ 27.5 ft²-----------------------------
B. Octagon with apothem of 5 cm
Area of polygon:
A = n × a² × tan(π/n), where n-number of sides, a- apothemApplied to our octagon:
A = 8×5²×tan(π/8) ≈ 82.8 cm²This is mathemiatci can you hep
Answers
Answer:
81-x=96-2x
x=15
m <1 = 66
m <2 = 66
Step-by-step explanation:
Because
Make it like this
(81-x)=(96-2x)
And solve for(x)
And x=15
The add 15 to (81-x) =(81-15)=66
And (96-2x) =(96-2(15)=66
Question 27: Find x
Answers
The angle x opposite to the side measuring 17 is approximately 20.68 degrees using trigonometry.
Let x stand for the side that is the shortest. The Pythagorean theorem yields the following result: x2 + 172 = 19.
When we simplify this equation, we obtain:
\(x^2 = 19^2 - 17^2\)
\(x^2 = 36x = 6\)
Hence, the shortest side is six inches long.
Using the inverse trigonometric function tangent, we can determine the angle opposite the side measuring 17. (tan).
tan = adjacent/opposite = x/17
By changing the value of x, we obtain:
\(tanθ = 6/17\)
We may determine the angle whose tangent is 6/17 using a calculator or a trigonometric table.
\(θ = 20.68°\)
As a result, the angle that is opposite the side that measures 17 is roughly 20.68 degrees.
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Which of the following is not
necessarily true for all rectangles.
Answers
There is a high speed rail track
Answers
An airplane had a total of 387 seats. The number of coach class seats is 2 more than 4 times the number of first class seats. How many of each type of seat are there on the plane?
Answers
Answer:
coach seats is 310 and first class seats are 77
Step-by-step explanation:
x+4x+2=387
5x+2=387
5x=385
x=77
4x+2
4(77)+2=310
Answer:
There are 77 first-class seats. We can use this information to now define the number of seats in coach. And there are 310 seats in coach.
Step-by-step explanation:
What is the area of the triangle
Answers
Answer:
A. 6 inchesssssssss
Answer:
6
Step-by-step explanation:
The distance from the green point on the parabola to the parabola's focus is
11. What is the distance from the green point to the directrix?
Focus
11
Directrix
O A. 11
B. 9.5
C. 5.5
Answers
Answer:
11
Step-by-step explanation:
sawarasenaaa kimi wa-
PLEASE WHAT IS THIS?!!? WHATS THE ANSWER?
Answers
Answer: bottom right